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1313020300293 = 3213411014995431
BaseRepresentation
bin10011000110110110000…
…110111100110000000101
311122112010122100020110100
4103012312012330300011
5133003031144102133
62443105421514313
7163601603255502
oct23066606746005
94575118306410
101313020300293
11466937802549
1219257ba12999
1396a81756140
144779c8ba4a9
152424c036e13
hex131b61bcc05

1313020300293 has 96 divisors (see below), whose sum is σ = 2117632608000. Its totient is φ = 778792320000.

The previous prime is 1313020300283. The next prime is 1313020300313. The reversal of 1313020300293 is 3920030203131.

1313020300293 is a `hidden beast` number, since 1 + 31 + 302 + 0 + 300 + 29 + 3 = 666.

It is not a de Polignac number, because 1313020300293 - 25 = 1313020300261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313020300283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241761288 + ... + 241766718.

It is an arithmetic number, because the mean of its divisors is an integer number (22058673000).

Almost surely, 21313020300293 is an apocalyptic number.

1313020300293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1313020300293 is a deficient number, since it is larger than the sum of its proper divisors (804612307707).

1313020300293 is a wasteful number, since it uses less digits than its factorization.

1313020300293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6091 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 1313020300293 in words is "one trillion, three hundred thirteen billion, twenty million, three hundred thousand, two hundred ninety-three".

Divisors: 1 3 9 13 39 41 101 117 123 303 369 499 533 909 1313 1497 1599 3939 4141 4491 4797 5431 6487 11817 12423 16293 19461 20459 37269 48879 50399 53833 58383 61377 70603 151197 161499 184131 211809 222671 265967 453591 484497 548531 635427 655187 668013 797901 1645593 1965561 2004039 2066359 2393703 2710069 2894723 4936779 5896683 6199077 7130903 8130207 8684169 18597231 21392709 22489771 24390621 26052507 26862667 35230897 64178127 67469313 80588001 105692691 111112829 202407939 241764003 273716969 292367023 317078073 333338487 821150907 877101069 1000015461 1444466777 2463452721 2631303207 3558320597 4333400331 10674961791 11222395729 13000200993 32024885373 33667187187 101001561561 145891144477 437673433431 1313020300293